113814130320 has 800 divisors, whose sum is σ = 448328162304. Its totient is φ = 26519270400.

The previous prime is 113814130303. The next prime is 113814130351. The reversal of 113814130320 is 23031418311.

It is a super-3 number, since 3×113814130320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 217617579 + ... + 217618101.

Almost surely, 2^113814130320 is an apocalyptic number.

113814130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113814130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224164081152).

113814130320 is an abundant number, since it is smaller than the sum of its proper divisors (334514031984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113814130320 is a wasteful number, since it uses less digits than its factorization.

113814130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113814130320 its reverse (23031418311), we get a palindrome (136845548631).

The spelling of 113814130320 in words is "one hundred thirteen billion, eight hundred fourteen million, one hundred thirty thousand, three hundred twenty".